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<div class="header">
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<div class="title">group_elem.h</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef _GROUP_ELEM</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define _GROUP_ELEM</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &quot;intmodn.h&quot;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &quot;permutation.h&quot;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &quot;binary_op.h&quot;</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> BinaryOp&gt;</div>
<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="classcGroupElem.html">   16</a></span>&#160;<span class="keyword">class </span><a class="code" href="classcGroupElem.html">cGroupElem</a> : <span class="keyword">public</span> T</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;{</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classcGroupElem.html">cGroupElem&lt;T, BinaryOp&gt;</a> <a class="code" href="classcGroupElem.html">SelfType</a>;</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">typedef</span> T ConcreteElType;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <a class="code" href="classcGroupElem.html">cGroupElem</a>()</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        :T()</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    {};</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <a class="code" href="classcGroupElem.html">cGroupElem</a>(T &amp;concrete_obj)</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        :T(concrete_obj)</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    {</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    };</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <a class="code" href="classcGroupElem.html">cGroupElem</a>(std::size_t size)</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        :T(size)</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    {</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    };</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <a class="code" href="classcGroupElem.html">cGroupElem</a>(<span class="keyword">const</span> T &amp;concrete_obj)</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        :T(concrete_obj)</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    {</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    };</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="comment">//becomes available in c++ 0x</span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    <span class="comment">//used to build cPermElem base class</span></div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="comment"></span>    <a class="code" href="classcGroupElem.html">cGroupElem</a>(<span class="keyword">const</span> std::initializer_list&lt;std::size_t&gt; &amp;perm_sq)</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        :ConcreteElType(perm_sq)</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    {};</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <a class="code" href="classcGroupElem.html">cGroupElem</a>(std::size_t size, <span class="keyword">const</span> std::initializer_list&lt;std::size_t&gt; &amp;perm_sq)</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        :ConcreteElType(size, perm_sq)</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    {};</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    <a class="code" href="classcGroupElem.html">cGroupElem</a>(<span class="keyword">const</span> <a class="code" href="classcGroupElem.html">SelfType</a> &amp;group_elem)</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        :T(group_elem)</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    {</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    };</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    <a class="code" href="classcGroupElem.html">SelfType</a> &amp;operator=(<span class="keyword">const</span> <a class="code" href="classcGroupElem.html">SelfType</a> &amp;elem)</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    {</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        T::operator=(elem);</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    };</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    ~<a class="code" href="classcGroupElem.html">cGroupElem</a>()</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    {</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    };</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="classcGroupElem.html#ac29fd7c4409752f596249999d87e64ca">   74</a></span>&#160;    std::size_t <a class="code" href="classcGroupElem.html#ac29fd7c4409752f596249999d87e64ca">GetOrder</a>()<span class="keyword">const</span></div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        std::size_t size = 1;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <a class="code" href="classcGroupElem.html">SelfType</a> temp = (*this);</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keywordflow">while</span>(temp != <a class="code" href="classcGroupElem.html#ae394d9b317db051ae804ae299f173e3d">GetIdentity</a>())</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        {</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            temp = m_BinOp(temp,(*<span class="keyword">this</span>));</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            size++;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        }</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keywordflow">return</span> size;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    };</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno"><a class="line" href="classcGroupElem.html#a6f563c99529cb747e414fc20a8915a20">   92</a></span>&#160;    std::size_t <a class="code" href="classcGroupElem.html#a6f563c99529cb747e414fc20a8915a20">GetOrder</a>(std::size_t group_order)</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    {</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> d=1; d&lt;=group_order; d++)</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        {</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            <span class="keywordflow">if</span>(group_order%d==0)</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;            {</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                <span class="keywordflow">if</span>(<a class="code" href="classcGroupElem.html#af58088ba8679e49a4b1a34b503a649e0">GetNthPower</a>(d)==<a class="code" href="classcGroupElem.html#ae394d9b317db051ae804ae299f173e3d">GetIdentity</a>())</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;                {</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                    <span class="keywordflow">return</span> d;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                }</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            }</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        }</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    };</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
<div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="classcGroupElem.html#a17bf17389d7b17e8674ef33eabed9163">  112</a></span>&#160;    <a class="code" href="classcGroupElem.html">SelfType</a> <a class="code" href="classcGroupElem.html#a17bf17389d7b17e8674ef33eabed9163">GetInverse</a>()<span class="keyword">const</span></div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span>(BinaryOp::isAdditive)</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        {</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;            <span class="keywordflow">return</span> T::GetAdInverse();</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        }</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        {</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;            <span class="keywordflow">return</span> T::GetMultInverse();</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        }</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    };</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
<div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="classcGroupElem.html#af58088ba8679e49a4b1a34b503a649e0">  127</a></span>&#160;    <a class="code" href="classcGroupElem.html">SelfType</a> <a class="code" href="classcGroupElem.html#af58088ba8679e49a4b1a34b503a649e0">GetNthPower</a>(std::size_t n)<span class="keyword">const</span></div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="classcGroupElem.html#af58088ba8679e49a4b1a34b503a649e0">GetNthPower</a>(n,*<span class="keyword">this</span>);</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    };</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
<div class="line"><a name="l00136"></a><span class="lineno"><a class="line" href="classcGroupElem.html#ab0e3d62bb8a37b59a371188f320bdbca">  136</a></span>&#160;    <span class="keywordtype">bool</span> <a class="code" href="classcGroupElem.html#ab0e3d62bb8a37b59a371188f320bdbca">CommutesWith</a>(<span class="keyword">const</span> <a class="code" href="classcGroupElem.html">SelfType</a> &amp;element)<span class="keyword">const</span></div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        <span class="keywordflow">return</span>( m_BinOp((*<span class="keyword">this</span>), element) == m_BinOp(element, (*<span class="keyword">this</span>)) );</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;    };</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
<div class="line"><a name="l00145"></a><span class="lineno"><a class="line" href="classcGroupElem.html#ab01a807aff26daecd39cea6837b01e8e">  145</a></span>&#160;    <span class="keywordtype">bool</span> <a class="code" href="classcGroupElem.html#ab01a807aff26daecd39cea6837b01e8e">IsNormalizer</a>(<span class="keyword">const</span> std::vector&lt;SelfType&gt; &amp;elements)<span class="keyword">const</span></div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        <span class="keywordflow">for</span>(std::size_t index = 0; index &lt; elements.size(); index++)</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        {</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;            <a class="code" href="classcGroupElem.html">SelfType</a> element = m_BinOp( m_BinOp((*<span class="keyword">this</span>), elements[index]), <a class="code" href="classcGroupElem.html#a17bf17389d7b17e8674ef33eabed9163">GetInverse</a>());</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;            <span class="keywordflow">if</span>(std::find(elements.begin(), elements.end(), element) == elements.end())</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;            {</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;            }</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        }</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;    };</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;</div>
<div class="line"><a name="l00162"></a><span class="lineno"><a class="line" href="classcGroupElem.html#ae394d9b317db051ae804ae299f173e3d">  162</a></span>&#160;    <a class="code" href="classcGroupElem.html">SelfType</a> <a class="code" href="classcGroupElem.html#ae394d9b317db051ae804ae299f173e3d">GetIdentity</a>()<span class="keyword">const</span></div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        BinaryOp _BinOp;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="classcGroupElem.html">SelfType</a>(ConcreteElType::GetIdentity(_BinOp));</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    };</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    BinaryOp GetBinaryOp()<span class="keyword">const</span></div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;        <span class="keywordflow">return</span> m_BinOp;</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;    };</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00178"></a><span class="lineno"><a class="line" href="classcGroupElem.html#a369cfffe505951aed65696857b25319b">  178</a></span>&#160;    <a class="code" href="classcGroupElem.html">SelfType</a> <a class="code" href="classcGroupElem.html#a369cfffe505951aed65696857b25319b">GetNthPower</a>(std::size_t n, <span class="keyword">const</span> <a class="code" href="classcGroupElem.html">SelfType</a> &amp;element)<span class="keyword">const</span></div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        <span class="keywordflow">if</span>(0 == n)</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="classcGroupElem.html#ae394d9b317db051ae804ae299f173e3d">GetIdentity</a>();</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;        <span class="keywordflow">if</span>(1 == n)</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;            <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;        <span class="keywordflow">if</span>(0 == n % 2 )</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;            <span class="keywordflow">return</span> m_BinOp(<a class="code" href="classcGroupElem.html#af58088ba8679e49a4b1a34b503a649e0">GetNthPower</a>(n/2, element),<a class="code" href="classcGroupElem.html#af58088ba8679e49a4b1a34b503a649e0">GetNthPower</a>(n/2, element));</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;            <span class="keywordflow">return</span> m_BinOp(m_BinOp(<a class="code" href="classcGroupElem.html#af58088ba8679e49a4b1a34b503a649e0">GetNthPower</a>(n/2, element), <a class="code" href="classcGroupElem.html#af58088ba8679e49a4b1a34b503a649e0">GetNthPower</a>(n/2, element)),</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;                           element);</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;    };</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    BinaryOp m_BinOp;</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;};</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;<span class="keyword">typedef</span> <a class="code" href="classcGroupElem.html">cGroupElem&lt; cPermElem, Multiplication&gt;</a> <a class="code" href="classcGroupElem.html">SymmGrpElem</a>;</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;<span class="preprocessor"></span></div>
<div class="ttc" id="classcGroupElem_html_af58088ba8679e49a4b1a34b503a649e0"><div class="ttname"><a href="classcGroupElem.html#af58088ba8679e49a4b1a34b503a649e0">cGroupElem::GetNthPower</a></div><div class="ttdeci">SelfType GetNthPower(std::size_t n) const </div><div class="ttdef"><b>Definition:</b> group_elem.h:127</div></div>
<div class="ttc" id="classcGroupElem_html_a6f563c99529cb747e414fc20a8915a20"><div class="ttname"><a href="classcGroupElem.html#a6f563c99529cb747e414fc20a8915a20">cGroupElem::GetOrder</a></div><div class="ttdeci">std::size_t GetOrder(std::size_t group_order)</div><div class="ttdef"><b>Definition:</b> group_elem.h:92</div></div>
<div class="ttc" id="classcGroupElem_html_a369cfffe505951aed65696857b25319b"><div class="ttname"><a href="classcGroupElem.html#a369cfffe505951aed65696857b25319b">cGroupElem::GetNthPower</a></div><div class="ttdeci">SelfType GetNthPower(std::size_t n, const SelfType &amp;element) const </div><div class="ttdef"><b>Definition:</b> group_elem.h:178</div></div>
<div class="ttc" id="classcGroupElem_html"><div class="ttname"><a href="classcGroupElem.html">cGroupElem</a></div><div class="ttdef"><b>Definition:</b> group_elem.h:16</div></div>
<div class="ttc" id="classcGroupElem_html_ac29fd7c4409752f596249999d87e64ca"><div class="ttname"><a href="classcGroupElem.html#ac29fd7c4409752f596249999d87e64ca">cGroupElem::GetOrder</a></div><div class="ttdeci">std::size_t GetOrder() const </div><div class="ttdef"><b>Definition:</b> group_elem.h:74</div></div>
<div class="ttc" id="classcGroupElem_html_ab0e3d62bb8a37b59a371188f320bdbca"><div class="ttname"><a href="classcGroupElem.html#ab0e3d62bb8a37b59a371188f320bdbca">cGroupElem::CommutesWith</a></div><div class="ttdeci">bool CommutesWith(const SelfType &amp;element) const </div><div class="ttdef"><b>Definition:</b> group_elem.h:136</div></div>
<div class="ttc" id="classcGroupElem_html_a17bf17389d7b17e8674ef33eabed9163"><div class="ttname"><a href="classcGroupElem.html#a17bf17389d7b17e8674ef33eabed9163">cGroupElem::GetInverse</a></div><div class="ttdeci">SelfType GetInverse() const </div><div class="ttdef"><b>Definition:</b> group_elem.h:112</div></div>
<div class="ttc" id="classcGroupElem_html_ab01a807aff26daecd39cea6837b01e8e"><div class="ttname"><a href="classcGroupElem.html#ab01a807aff26daecd39cea6837b01e8e">cGroupElem::IsNormalizer</a></div><div class="ttdeci">bool IsNormalizer(const std::vector&lt; SelfType &gt; &amp;elements) const </div><div class="ttdef"><b>Definition:</b> group_elem.h:145</div></div>
<div class="ttc" id="classcGroupElem_html_ae394d9b317db051ae804ae299f173e3d"><div class="ttname"><a href="classcGroupElem.html#ae394d9b317db051ae804ae299f173e3d">cGroupElem::GetIdentity</a></div><div class="ttdeci">SelfType GetIdentity() const </div><div class="ttdef"><b>Definition:</b> group_elem.h:162</div></div>
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